The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?
Options:
A . 1.4 cm
B . 2.8 cm
C . 14 cm
D . 28 cm
E . None of these
Answer: Option D Volume of the tank = 246.4 litres = 246400 cm3 Let the radius of the base be r cm Then, $$\eqalign{ & \left( {\frac{{22}}{7} \times {r^2} \times 400} \right) = 246400 \cr & \Rightarrow {r^2} = \left( {\frac{{246400 \times 7}}{{22 \times 400}}} \right) \cr & \Rightarrow {r^2} = 196 \cr & \Rightarrow r = 14 \cr} $$ ∴ Diameter of the base = 2r = 28 cm
Submit Comment/FeedBack